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Finding the Fourth Proportional to 339,348.88, 508,814.24 and 114,688.16

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Solution

The fourth proportional to 339,348.88, 508,814.24 and 114,688.16 is: 171,961.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,348.88 : 508,814.24 = 114,688.16 : x
  2. Step 2: Convert to fraction form
    339,348.88/508,814.24 = 114,688.16/x
  3. Step 3: Cross multiply
    339,348.88x = 508,814.24 × 114,688.16
  4. Step 4: Simplify right side
    339,348.88x = 58,354,968,967.40
  5. Step 5: Solve for x
    x = 58,354,968,967.40/339,348.88
  6. Step 6: Final answer
    x = 171,961.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.